Abstract
Today the majority of clinical molecular imaging procedures are carried out with single-photon emitters and gamma cameras, in planar mode and single-photon emission computed tomography (SPECT) mode. Thanks to the development of advanced multi-pinhole collimation technologies, SPECT imaging of small experimental animals is rapidly gaining in popularity. Whereas resolutions in routine clinical SPECT are typically larger than 1 cm (corresponding to >1,000 μl), it has recently proved possible to obtain spatial resolutions of about 0.35 mm (≈0.04 μl) in the mouse. Meanwhile, SPECT systems that promise an even better performance are under construction. The new systems are able to monitor functions in even smaller structures of the mouse than was possible with dedicated small animal positron emission tomography (≈1 mm resolution, corresponding to 1 μl). This paper provides a brief history of image formation with pinholes and explains the principles of pinhole imaging and pinhole tomography and the basics of modern image reconstruction methods required for such systems. Some recently introduced ultra-high-resolution small animal SPECT instruments are discussed and new avenues for improving system performance are explored. This may lead to many completely new biomedical applications. We also demonstrate that clinical SPECT systems with focussing pinhole gamma cameras will be able to produce images with a resolution that may become superior to that of PET for major clinical applications. A design study of a cardiac pinhole SPECT system indicates that the heart can be imaged an order of magnitude faster or with much more detail than is possible with currently used parallel-hole SPECT (e.g. 3–4 mm instead of ≈8 mm system resolution).
Introduction
Today, the majority of clinical procedures using tracers to visualise specific tissue binding sites are carried out with planar gamma camera imaging, single-photon emission computed tomography (SPECT) or positron emission tomography (PET). Imaging of single-photon-emitting radiopharmaceuticals with gamma cameras, in planar or SPECT mode, makes up the largest fraction of these molecular imaging procedures. In addition to clinical SPECT, SPECT imaging with pinholes of experimental animals is currently growing rapidly. The main reason for this is that it allows for both the visualisation and the accurate quantification of molecule concentrations in small animals like rodents with resolutions down to sub-compartments of mouse organs. This impacts on most preclinical imaging procedures since rats and mice form the majority of the experimental animal population. The spatial resolution and signal strength of pinhole-collimated gamma cameras are often superior to those with other types of SPECT collimation. The combination of multiple focussing pinhole collimators and advanced software provides even higher resolutions than can be obtained with dedicated small animal PET for many rodent imaging procedures: some novel SPECT systems produce images even at sub-half-millimetre scales. The growing number of experimental small animal models of human physiology and disease will benefit from this development because they require very accurate and non-invasive longitudinal monitoring of molecular dynamics.
Many SPECT tracers are now commercially available that have sufficiently long half-life times to allow for long-distance transportation. Therefore no expensive infrastructure with cyclotrons at site is required. At least eight companies are already manufacturing small animal SPECT devices, with a wide range of pricing and system performance. Many biomedical research institutes will be equipped with pinhole SPECT in the near future. As a result, non-invasive first-line screening for experimental drugs with radiotracers is expected to become extremely popular.
A primer on the physics of small animal radionuclide imaging (PET and SPECT) was published by King et al. [1], and two overviews of small animal SPECT systems and their place in the matrix of molecular imaging modalities (PET, fluorescence imaging, bioluminescence imaging, magnetic resonance imaging and magnetic resonance spectrometry) were published recently by Meikle et al. [2, 3]. The goal of the present paper is to acquaint a broad readership with the history, physics and mathematics of pinhole SPECT. In addition, we will attempt to place modern pinhole SPECT in the context of past and future SPECT instrumentation and its biomedical applications.
A brief history of pinhole imaging
Since photons travel in straight lines, an inverted image of the illuminated field of view is produced when they pass through a pinhole. The size of the projected image depends on the relative distance between object and pinhole versus pinhole and the surface where the image is projected. This natural phenomenon of pinhole image formation predates the existence of man: For hundreds of millions of years living creatures have existed that have been able to see or sense through holes located in front of a layer of photo-sensitive tissue such as a retina. A contemporary animal with pinhole eyes is the “living fossil” Nautilus pompilius (Fig. 1): it has existed in seas and oceans for about one hundred million years. Another example is the giant clam, which has multiple pinhole eyes; see [4].
We will never know when and how humans first devised pinhole imaging, but situations may have occurred where sun-illuminated scenes were projected upside down through a hole onto the opposite wall of a cave (Fig. 2a). The resulting “movies” may well have astonished primitive man, possibly as long as hundreds of thousands of years ago. What is certain is that several hundreds of years ago, pinhole “cameras” as large as complete living rooms were exploited by artists, for example by Leonardo da Vinci (1452–1519). Da Vinci, and later on artists like Johannes Vermeer (1632–1675), used pinhole projections on the wall of a dark room (Fig. 2b) to trace and draw lines that formed the basis for their paintings and enabled them to obtain an almost perfect perspective. Such devices and their successors are often called “camera obscura” (dark chamber), a term which, according to some historians, was first used by the astronomer Johannes Kepler. Much later, Joseph Nicéphore Niépce built the first pinhole camera with a storage medium (film!) which produced the first photographs. This occurred about a hundred and eighty years ago [5, 6].
In clinical radionuclide imaging, the pinhole has served as a means to collimate gamma rays since the earliest gamma cameras [7–9]. Up until now, the pinhole gamma camera has been used mainly for the imaging of small volumes such as the human thyroid (e.g. [10]). Pinhole imaging involving the use of more than one pinhole simultaneously (multi-pinhole imaging, the nuclear application of which was described as long ago as 1973 [11]) was used to image relatively small organs such as the human thyroid [12], shoulder [13, 14], hip [15, 16], neck [17] and heart [18]. So far, however, multi-pinhole imaging has not achieved broad clinical application. Nevertheless, it can be said that (multi) pinhole-like imaging was “invented” by nature and through the ages has been re-invented over and over again, which applies to many principles of engineering.
Principles of planar radionuclide pinhole imaging
Pinhole imaging with gamma rays is based on the same geometric principle as the optical pinhole camera. A scintillation crystal is used to determine the gamma ray intensity projection: the scintillation light pattern is read out with a position-sensitive light detector, instead of a film. In optical cameras, pinholes have been replaced by lenses, since this allows for more light photons to be captured. Since there are no practical methods for diffracting or reflecting gamma rays for SPECT, today collimators are used for imaging single-photon-emitting radionuclides, although these transmit only a tiny fraction of the gamma quanta emitted by tracers in the animal or patient. Most collimators consist of a radiation-absorbing wall with one or more narrow holes. While for animals pinhole collimators are popular, the parallel-hole collimator is the clinical work horse. It consists of a slab of lead with a thickness of a couple of centimetres, with many narrow parallel holes very close to each other (Fig. 3, left).Today, these collimators are relatively easy to produce, and are suitable for imaging large areas of the body. SPECT images can be reconstructed rapidly and simply from parallel-hole projections.
Why do pinhole collimators produce images with a much higher resolution than parallel-hole collimators when used to image small animals or small organs? And why can this resolution be even better than the amount of blurring due to the detector properties themselves (already a few millimetres)? This is explained in Figs. 3 and 4. Figure 3 shows a mouse of size T that is projected through a parallel-hole collimator (left side) and through a pinhole (right side). In the case of an “ideal” parallel-hole collimator, the projection of the object is blurred only by the intrinsic gamma camera resolution. The blurring is caused by: (a) scintillation light that spreads out in the crystal, (b) the limited number of light photons generated per gamma interaction in the crystal, which results in position uncertainty of the detected scintillation light flash, and (c) the limited positioning abilities of the position-sensitive light detector behind the crystal. The intrinsic camera resolution is characterised by a value R i which describes the width of the blob that appears when a pencil gamma beam is used to irradiate the crystal. For most clinical gamma cameras, R i is about 3.5 mm full-width at half-maximum (FWHM). With pinholes we have a different situation: when the distance between the mouse and the pinhole is L and that between the pinhole and the detector is 5×L, the size of the mouse projection is 5×T. Therefore, when the mouse is de-magnified to its original size, it is not smoothed with an amount corresponding to R i, but is smoothed only with R i/5. The smaller the object, the closer it can be placed to the pinhole without protruding out of the field of view, and therefore the higher the magnification factor and the resolution can be. A pleasant side-effect of using pinholes for small animals is that the fraction of detected photons (the so-called sensitivity, denoted here by S) in the field of view increases spectacularly when the object is closer to the pinhole. This is because the solid angle at which photons from each point in the object are able to pass through the pinhole increases tremendously for points closer to the pinhole. This relationship can be approximated by: \(S = {D^{2}_{{{\text{eff}}}} } \mathord{\left/ {\vphantom {{D^{2}_{{{\text{eff}}}} } {{\left( {16\,\,{\text{z}}^{2} } \right)}}}} \right. \kern-\nulldelimiterspace} {{\left( {16\,\,{\text{z}}^{2} } \right)}}\) where D eff is the effective hole diameter (accounting for penetration of rays through the aperture edges) and z, the object-to-pinhole distance. With parallel holes, the fraction of detected photons from a small source in air is almost independent of the camera distance. Experimental data acquired at Duke University (Fig. 4, from [19]) clearly demonstrate this effect: both sensitivity and resolution obtained with pinholes beat those of a parallel-hole collimator when the object is close to the pinhole opening. Extreme exploitation of this magnification and sensitivity-increasing effect is shown during thyroid imaging of a mouse (Fig. 5); since the tiny mouse thyroid fits into a square millimetre, it can be placed at half a centimetre from the pinhole. As a result, a magnification factor of more than 20 can be obtained. Despite the fact that R i of the camera was 3.1 mm for this particular example, details of approximately 150 μm could still be visualised.
The resolution of a pinhole system for an “ideal” detector (with R i=0) is roughly described in Eq. 1, and is also called the geometric resolution R g of the pinhole device:
Here, l is the distance between the pinhole and the detector. This equation shows that the pinhole diameter dramatically affects the resolution, particularly when pinhole-to-object distance increases. The effects of a limited detector resolution are taken into account in Eq. 2. Here the total system resolution R t is approximated by:
Equation 2 shows that limited intrinsic resolution can degrade the total system resolution dramatically. Note that penetration of rays along the pinhole edge can be accounted for by using effective diameters rather than physical diameters. Accurate mathematical descriptions of effective hole diameters, in terms of resolution and sensitivity, can be found in [21] and [22].
Pinhole SPECT devices and image reconstruction
With the development of advanced algorithms that are currently available to reconstruct images from complex pinhole geometries, images of superior resolution and quantitative accuracy can be produced. Consequently almost all dedicated small animal SPECT systems are presently fitted with pinholes. Usually one rotates either the animal or the detectors with collimators to acquire a sufficient number of angular views (“projections”) to enable reconstruction of 3D volume images. SPECT systems can be fitted with one [e.g. 23–25], two [e.g. 26], three [e.g. 19, 27], four [28], six [e.g. 29] or even more pinholes. In some cases the use of many pinholes will produce overlapping projections (often referred to as multiplexed projections) [30, 31]. In addition to rotation-based systems, there are stationary systems: these often have many pinholes and are able to deliver excellent spatial and temporal resolution. Two types of stationary system with many non-overlapping projections will be discussed in a following section.
The issue of overlapping versus non-overlapping projections is the subject of many scientific discussions and ongoing research. Overlap increases system sensitivity but one has to keep in mind that this increase is at least partly artificial, since a significant amount of information per photon can be lost owing to the overlap. Therefore, the sensitivity of systems based on overlapping projections cannot be compared with that of systems with non-overlapping projections. The comparison is complicated since information loss owing to overlap strongly depends on the distribution that is imaged. For example, the image degradation gets stronger with higher background activity and with extended tracer distributions. The latter are much more common than distributions of tracers that accumulate in small areas. In some cases overlapping projections can be used to increase the field of view. In addition, allowing overlap is a way to increase the number of viewing angles of a volume of interest. Research on the extent, if any, to which overlap is beneficial for specific tasks and distributions is ongoing in several imaging laboratories.
In principle, image reconstruction from pinhole SPECT projection images can be performed analytically, using filtered back projection-like algorithms (e.g. the Feldkamp algorithm [32]). These algorithms are also used in other cone-like radiation-transport geometries such as X-ray CT systems and cone-beam collimated SPECT systems (cone-beam collimators, just like parallel-hole collimators, have long holes but these holes are directed to a focal point). The advantage of these analytical methods is their computational speed, but (a) they have limited robustness to quantum noise that is present in projections, (b) they do not compensate for image blurring effects and (c) they are not really flexible enough to handle the complicated pinhole and detector placements needed to extract the maximum amount of information from the object being imaged. Therefore, at present, with most pinhole systems iterative methods of reconstruction are used, such as the maximum likelihood expectation maximisation (ML-EM [33]). The ML-EM algorithm is a statistical algorithm which takes into account the characteristics of the noise in gamma camera pixels. In addition, these algorithms can incorporate models of image degradation such as non-uniformities and distance-dependent sensitivity. Other factors, such as spatial variant resolution and radiation penetration along the pinhole edges, can also be included [30, 34, 35] in order to correct for these image-degrading effects. As a result, statistical algorithms produce images with less noise, better resolution and higher quantitative accuracy than many other algorithms.
A simple explanation of image reconstruction
Although sometimes complicated to implement in a real pinhole system, the basics of iterative reconstruction can be explained quite simply to those who remember simple high school algebra. The task in iterative reconstruction in emission tomography is to attempt to solve a linear set of hundreds of thousands of equations with typically hundreds of thousands of unknowns. Such a set of equations is shown in Fig. 6a: the unknown numbers A i (together forming a so-called vector A, with element indexes i ranging from 1 to V) are the amounts of radioactive tracer present in each tiny volume element (voxel) within the object. The process of “iterative reconstruction” involves the repeated application of a set of operations that progressively gets closer to a correct estimate of the unknown activity distribution. Figure 6b shows the concept of this iterative updating. At the end of a reconstruction, each of the estimated numbers can be transformed to colour- or grey-scale pixels for visualisation.
Before the iterative calculations can start, one needs a set of numbers (matrix elements) in which each of the elements M ji represents a probability that gamma quanta emitted by an amount of tracer A i present in a voxel i will be detected in a pixel j at one of the detectors. These elements need to be known for each individual voxel–pixel combination. The entire set of measured projection pixels is represented by a vector P. The numbers M ji together with P determine the set of equations from which the activity distribution A has to be solved. For example, during an iteration of the ML-EM algorithm, the actual estimate of A (which we call A e) is used to generate an estimate of the projection, denoted with vector P e, simply by carrying out the summations, as presented in Fig. 6a, but with A e instead of A. Next, ML-EM uses the relative differences between P and P e, to calculate an object error map. The error map is used to update A e with a simple equation. The basic idea behind all iterative methods is that when P e is very close to P, A e must be close to the reality A, because it produces almost the same projection as does A. The generation of a new P e and the updating of A e often need to be repeated hundreds of times to obtain a good solution. Because of the many iterations required, acceleration methods to speed up the algorithms have been developed. The ordered subset expectation maximisation (OS-EM, [36]) is currently the most popular method.
Simple introductions to the subject of iterative SPECT image reconstruction, and information on how to carry out comparisons and update steps during reconstruction, can be found in [37, 38]. The accurate determination of the matrix elements in M is difficult, often requiring complex calculations and/or measurements that are specific to each different pinhole SPECT device. An accurate match of the matrix elements and real detection probabilities has a critically important influence on the reconstructed image; the number of iterations and quality of image smoothing for noise suppression are also important.
Stationary SPECT systems
Some pinhole systems require rotation of either the detector or the animal, while others are stationary pinhole systems. Early clinical stationary pinhole systems were developed in the early 1970s by Wouters et al. [11], Chang et al. [12] and Vogel et al. [18]. The systems in [11] and [18] were based on only seven pinholes. Various shapes of apertures other than pinholes, some of which were time coded, were also investigated at that time (see [39]). Later, several papers about exciting stationary pinhole SPECT system designs were published by the University of Arizona [e.g. 40]. In addition, a modular stationary SPECT device was tested and presented in 1993 [41]. Later, systems with 24 pinholes (FastSPECT I ) and 16 pinholes (FastSPECT II) were constructed [e.g. 42, 43]. Resolutions better than 2 mm were already reported in 1998 with FastSPECT [44]. As resolution improved over the years, FastSPECT produced impressive myocardial images of rats [45] and was also used for other biological studies.
An advantage of stationary SPECT systems is that they can perform arbitrarily short data acquisitions that contain all the viewing angles required to reconstruct a tomographic image, which is similar to the situation in most PET systems. Because of the high number of pinholes, which provide a high sensitivity, stationary systems are ideal for dynamic imaging and assessing tracer and pharmaceutical kinetics. In addition, these stationary systems are inherently very stable over time.
In 2004 the University Medical Centre, Utrecht, completed the construction of a stationary ultra-high-resolution system (U-SPECT-I [35]). A tube with 75 focussed gold pinholes was put inside a set of three detectors borrowed from a clinical system. A robot was used for calibration and for total body imaging protocols. An improved stand-alone version (“U-SPECT-II”, Fig. 7) was recently launched based on three large field of view detectors that allow for an even better sensitivity and resolution than U-SPECT-I. Prototypes of future U-SPECT devices with CCD-based detectors are currently under development (e.g. the U-SPECT-III [46]). In all U-SPECT systems, the animal is surrounded by many pinholes placed in rings. This large set of pinholes allows us to obtain a sufficient number of different angular views for reconstruction of cross-sectional images of the object, without having to change the position of the detectors, the pinholes or the animal. We used U-SPECT-I to scan the first living animals in the spring of 2004, and immediately obtained images with sub-millimetre resolution: 0.45 mm along all axes could be achieved with 0.6-mm pinholes, and currently, with pinholes of 0.3 mm, a resolution of 0.35 mm (0.04 μl) has been achieved [35, 47], Fig. 8). U-SPECT-I is equipped with a large number of pinholes, namely 75, and also differs in several other respects from FastSPECT: in U-SPECT the pinholes are much more focussed as a result of a novel two-stage collimation method that prevents projection overlap and allows for close packing of projections on the detector surface. Furthermore, the geometry chosen uses three large detectors and results in a high magnification factor which helps to improve resolution. Instead of using relatively expensive modular gamma cameras that contain a large amount of dead area at the edges, our system creates separated but closely packed projections on large-area detectors. The large number of independent pinhole cameras created in this way facilitates the detection of a large number of gamma quanta from the volume that one really wants to scan (e.g. the heart or brain); as a result, hardly any detector area is wasted by projecting irrelevant parts of the animal. We have also found that it is very easy to image large volumes with U-SPECT, up to entire animals. For example, using the same focussing collimator we were able to obtain total body scans of mice at approx. 0.5-mm resolution [48]. To this end the bed can be shifted in x, y and z direction, in order to acquire gamma radiation from an arbitrarily large part of the animal.
Further improvement of small animal SPECT instruments
There are several ways to improve imaging characteristics of small animal SPECT devices. These include the development of better algorithms and software for image reconstruction, optimised collimators and better detectors. Some systems are already equipped with close to optimal image reconstruction methods which perform accurate resolution recovery and which result in good quantitative accuracy. In these systems the match between the calculated/measured reconstruction matrix elements and the physical detection likelihoods has to be very accurate and sufficiently stable over time. Therefore, one needs very good system calibration which can be carried out with point source measurements. Much important information about pinhole SPECT reconstruction and the associated estimation of the matrix elements has already been published [e.g. 21, 35, 47, 49–52].
Mathematical investigations are in progress to improve pinhole system geometries [e.g. 53, 54]. These investigations can be highly complex owing to the many degrees of freedom in system geometry. Candidates for future systems include systems that have a huge number of tiny pinholes; in some designs, pinholes have a diameter of close to zero, and therefore transmission of gamma quanta is mainly based on material penetration effects [53].
The position-sensitive gamma ray detector of a SPECT pinhole camera module is in many respects like the retina of the eye since, for example, its quality strongly influences overall system performance. If possible, the detector should have such a high resolution that the system resolution is not markedly affected by detector blur, but this is not the case yet for any commercial pinhole SPECT system. So far, high-resolution detectors have been used only in mini-scale toy systems. The development of affordable high-resolution radiation detectors is very important to improve SPECT systems, and also for other biomedical applications. Many successful attempts have been made to manufacture high-resolution detectors [e.g. 55–66]. However, these are almost all at the prototype stage, to some extent owing to the high costs of obtaining a surface area large enough to serve a large number of pinholes. Efforts are being made to simulate and construct compact high-resolution systems based on CCDs or other detectors [41, 46, 49, 67–70].
For gamma quanta that travel along exactly the same line towards the detector, interaction can take place at different depths in the detector material (e.g. the scintillation crystal). Gamma detectors as currently in use for pinhole SPECT will attribute these gamma rays to a different ray direction, which will result in parallax errors and therefore in a blurred reconstruction. This is called the depth-of-interaction (DOI) problem. An ideal gamma camera should have high resolution not only for radiation that enters the detector from a direction perpendicular to the detector surface but also for gamma rays that enter the crystal at any angle. So ideally a ray entering a crystal at a certain point and at a certain angle should always provide the same 2D coordinate, independent of the depth at which the interaction in the crystal occurred. One way to achieve this is to use a thin crystal, but then only a small fraction of gamma quanta can be detected. Another method is to use a curved detector surface like those present in biological systems, but these can be hard to produce. With scintillation detectors it is also possible to use optical techniques to avoid the DOI problem (e.g. [46, 49, 71]), or to use depth encoding methods in order to derive the exact point at which the gamma ray entered the crystal surface. Also, direct conversion detectors (which are not based on scintillation but convert gamma rays directly into an electrical signal) have been proposed that allow DOI to be corrected by using a 3D read out [57].
As an alternative to pinholes, collimators based on slits have been proposed for small animal SPECT. Some have a single-stage slit collimation [72] followed by collimation with a stack of slats. A drawback of such a slit collimation is that magnification effect, which has been shown to be very beneficial to pinhole imaging, is only present in the transaxial direction, which leads to a poor image resolution in the axial direction. The slats effectively result in parallel-hole collimation, including its associated blurring effects in the axial direction. As an alternative, Huang and Zeng from Utah recently proposed two-stage slit collimation with crossed slits, where each crossing of two perpendicular slits forms a kind of generalised pinhole collimator [73]. The system with crossed slits can have adjustable sensitivity and independent magnification factors in different directions, and could form the basis of a flexible high-resolution system.
Collimators only allow the detection of photons that have travelled in narrowly selected directions towards the detector, and therefore only a small fraction of all gamma rays can be used with collimated systems. This is a major drawback of SPECT compared with PET. If SPECT evolves along similar directions as eyes have evolved, pinholes will no longer be required. Indeed, some developments are directed towards the replacement of collimators. For example, lens-based systems [e.g.,74, 75] and gamma ray mirrors [76–78] have been proposed. However, it remains to be seen whether gamma lens or gamma mirror-based gamma cameras will ever be able to compete with collimation-based systems, because there are many complications. For example, the space required for a gamma lens is currently of the order of several metres [75], which will be generally too large for practical purposes. An overview of alternatives to collimators is given in [34].
Some applications of ultra-high-resolution SPECT
Major tools for unravelling the function of genes and identifying physiological and patho-physiological mechanisms underlying diseases currently include mouse models and a variety of evaluation methods, including histological/biochemical techniques. Standard histology, immuno-protein staining, in situ hybridisation and autoradiography techniques can all be used to show the spatial distribution of tissue, cells, proteins or mRNA. However, these methods are extremely laborious and carry the methodological risk associated with working ex vivo. As a result, the current practice of phenotyping mouse strains is quite limited. In addition, there is a strong societal pressure to refine first-line screening of experimental drugs, thereby reducing animal discomfort and the required number of animals used. High-resolution animal SPECT will be a good alternative for part of this work, particularly when these systems become more affordable. SPECT and other molecular imaging devices are causing a revolution in fast functional analysis of mouse models since they enable one to look inside a living animal, and facilitate dynamic and follow-up studies. Moreover, a tremendous acceleration and refinement in the testing of experimental drugs can be expected. SPECT may also become more and more important as a pre-selection tool for timing of ex vivo methods such as autoradiography. In addition, the dynamic capabilities of new SPECT devices indicate that dynamic and kinetic pharmacologic studies may become an important new area of application of SPECT. Furthermore, tools are under development that will enable us to perform emission tomography on freely moving animals instead of anaesthetised animals [e.g. 79]. This will provide unique and new opportunities, particularly with regard to the study of brain function, and will facilitate continuous monitoring of molecule distributions in vivo.
High-resolution pinhole SPECT for clinical imaging
The recent introduction of ultra-high-resolution pinhole SPECT systems for animals has raised the question of whether it may soon be possible to develop very high resolution clinical pinhole systems for important areas of application such as heart or brain imaging. As mentioned in the course of this paper, pinholes have been used for clinical radionuclide imaging for many years, including the imaging of small organs like the thyroid, but they are still used in only a small fraction of all SPECT procedures. So far it seems that the advantages of pinholes are smaller when large body areas have to be imaged and when one is confined to scintillation gamma cameras with 3- to 4-mm intrinsic resolution. On the other hand, if one can focus enough pinholes on the organ of interest, the distance-related sensitivity drop that hampers non-focussing pinhole designs can be prevented. In addition, a stationary pinhole set-up can be created with focussing pinholes, which can be advantageous for dynamic cardiac imaging. Figure 9 shows an artist’s impression of a focussing cardiac pinhole “toy model” that will be analysed below. This C-shaped detector set-up consists of five large detector blocks that each consist of three standard gamma cameras (R i=3 mm, size 46×27 cm) with a radius of about 0.4 m and with a total of effectively 30 independent sub-detectors. The required field of view to project a large heart is assumed to be approx. 18 cm×15 cm when the pinhole magnification is set to 1.5, which corresponds to two projections per camera. With this system set-up in mind we now can complete some rough calculations to compare standard clinical SPECT with this pinhole system:
The sensitivity of a dual-head parallel-hole SPECT system (ParHole system) , with low-energy high-resolution (LEHR, hole diameter 1.4 mm and hole length 33 mm) parallel-hole collimators, is about 146 cpm/μCi per detector head, which is equivalent to a total geometric sensitivity of 0.017%. In the centre of the heart a resolution of about 8.7 mm is reached at 15.5 cm, which is assumed to be the average distance between the collimator and the centre of the left ventricle in the comparison we do here between a stationary pinhole and the ParHole system. In order to achieve an equal system resolution at 15.5 cm with a pinhole camera, the pinhole diameter needs to be 4.9 mm, corresponding to a sensitivity of approx. 0.006%. The pinhole set-up in Fig. 9, with 30 independent pinhole cameras, has a sensitivity of 0.15%, which is almost one order of magnitude higher than the sensitivity of the ParHole system. This indicates that one can make a scan with approximately the same resolution but almost ten times faster than with a ParHole system. Alternatively, one can reduce the pinhole diameter to increase resolution. When we choose 1.63 mm, the efficiency is decreased to 0.017%, which is equal to the ParHole system. However, now the pinhole system has a 2.1 times higher system resolution than the ParHole system (4.1 mm instead of 8.7 mm). If, in addition, the intrinsic resolution of the detectors were to be 1.0 mm instead of 3.0 mm, it would be possible to achieve a system resolution better than 3 mm. This could mean an improvement over clinical PET systems. Note that the improvements over ParHole SPECT calculated here are based on projecting a large heart without projection overlap. With normal hearts, significantly larger improvements can be obtained since more focussing pinholes can be used. Then, however, a strategy is required to extend the field of view for imaging larger hearts. Finally, when large detector areas are available for the construction of clinical SPECT systems, pinholes will not be the only gateway to significantly improved performance: other focussing collimators (cone beam, multiple parallel-hole collimators, crossed slits, slit-slat collimators, rotating mini-cameras etc,) will certainly be worth considering, too.
Concluding remarks
Pinhole collimated imaging systems have been around for millions of years, for example in primitive eyes. Although collimation is inherently inefficient, its basic principles have been very useful for the construction of SPECT devices. The many kinds of eyes that have evolved from pinhole eyes [80] can be a source of inspiration to engineers in searching for alternatives to traditional gamma ray collimators and the currently used sub-optimal gamma ray detectors.
In recent years, significant progress has been made with the construction of small animal SPECT imaging. Even if developments are initially confined to the straightforward evolution of proven and readily available building blocks in concert with pinhole-like collimators, significant further improvements in both preclinical and clinical SPECT instruments can be expected. To further improve SPECT devices we need to direct our efforts to the production of low-cost high-resolution radiation detectors. Many other interesting developments are ongoing in SPECT system engineering. The many new and unforeseen applications that will spin off from high-resolution and flexible SPECT technology, together with new tracers and biological models, are expected to contribute to a revolution in biomedical research.
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Acknowledgements
The authors thank Dr. Cynthia Jongen, Dr. Steven Staelens, Dr. Mart Rentmeester, Dr. Wojtek Zbijewski, Dr. Julia Huijbregts, Dr. Jeroen Pasterkamp, Brendan Vastenhouw (University Medical Centre Utrecht) and Prof. Brian Hutton (University College London) for many constructive comments. Dr. Freek Beekman is a board member and share holder of Molecular Imaging Laboratories, The Netherlands.
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Beekman, F., van der Have, F. The pinhole: gateway to ultra-high-resolution three-dimensional radionuclide imaging. Eur J Nucl Med Mol Imaging 34, 151–161 (2007). https://doi.org/10.1007/s00259-006-0248-6
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DOI: https://doi.org/10.1007/s00259-006-0248-6