Motion Field and Optical Flow: Qualitative Properties
IEEE Transactions on Pattern Analysis and Machine Intelligence
The computation of optical flow
ACM Computing Surveys (CSUR)
Erratum: a general formula for fan-beam lambda tomography
Journal of Biomedical Imaging
Tomographic reconstruction of vector fields
IEEE Transactions on Signal Processing
Tomographic reconstruction of 3-D vector fields using inner product probes
IEEE Transactions on Image Processing
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With the rapid development of X-ray source and detector technologies, multi-source scanners become a hot topic in the computed tomography (CT) field, which can acquire several projections simultaneously. Aided with the electrocardiogram (ECG)-gating technique, the multi-source scanner can collect sufficient projections to reconstruct one or more specific phases of a beating heart. Hence, we are motivated to develop velocity tomography as a new dynamic imaging mode to recover the velocity field from the projections. First, we derive a velocity field constraint equation subject to the mass conservation. Then, we present a two-step general scheme to estimate the velocity field. The first step directly or indirectly computes partial derivatives. The second step iteratively determines the velocity field subject to the constraint equation and other conditions. Finally, we describe numerical experiments in the fan-beam geometry to demonstrate the correctness and utility of our scheme.