SPECT is an important technique for assessing myocardial perfusion. However SPECT suffers from low sensitivity because of the necessity for collimation. New systems have emerged with higher sensitivity for myocardial perfusion imaging, a primary market for SPECT. Most of these designs focus on imaging a region of interest around the heart. The design by Funk et al and Discovery series from GE use multiple pinholes. The advantage of pin-hole designs is that there are no moving parts, thus reducing manufacturing and servicing costs. We propose a novel method to improve resolution and/or sensitivity by using curved detectors fitted to pin-hole collimators. The use of a curved detector on each pin-hole results in a better resolution over that of a flat-detector attached to the same pin-hole, because of improved magnification. The improved resolution can then be swapped for sensitivity by increasing the pin-hole diameter, to obtain better sensitivity performance for similar resolution as the flat-detector. We mathematically derived expressions for average resolution of paraboloid, conical and spherical detectors, and calculated the sensitivity improvement keeping the same average resolution as the LEHR parallel collimators normally used for Cardiac SPECT. We also implemented an analytical ray-tracing based forward projector for the paraboloid detector with the model of the pin-hole resolution. The ray-tracing simulations corroborated our analytical results. We devised a stationary configuration of the pinholes where sets of pinholes are focused on the cardiac volume. Our preliminary design with the paraboloid-shaped detector behind each pin-hole, showed that the sensitivity improvement over the high-sensitive multi-pin-hole system with flat-detectors was 48-85% (depending upon the number pin-hole used). The sensitivity improvement of the curved detector over the clinical systems currently used for cardiac imaging was a factor of 7.4 to 9.3, with resolution similar to that of LEHR in the region of interest. Our hypothesis is that further improvements may be achieved by finding the optimum curved detector surface and most importantly, by modeling the pin-hole resolution and penetration and detector parallax effects in iterative reconstruction for compensation. Thus potentially there would be further resolution improvement to be traded to obtain improved sensitivity. Our overall goal is to thus formally optimize the detector surface and model the resolution and penetration and detector parallax effect within the reconstruction algorithm and evaluate the performance improvements for our proposed system.