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Im looking into the section "Reconstructing an object from its shadow" in Introduction to the Mathematics of Medical Imaging by Charles L. Epstein.I have two questions

1. The tangent point is expressed as a vector which contain two component. The shadow function h multiplied with the orthogonal vector and an "s" function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the "s" function mean?
2. And also why do we have h'D(e) - s(e) = 0 when it is parallel to the direction vector w^?

image for question 1

image for question 2

I'm looking into the section "Reconstructing an object from its shadow" in the book Introduction to the Mathematics of Medical Imaging by Charles L. Epstein. 

I have two questions

1. The tangent point is expressed as a vector which contain two component. The shadow function $h$ multiplied with the orthogonal vector and an $s$ function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the $s$ function mean?
2. And also why do we have $h'D(e) - s(e) = 0$ when it is parallel to the direction vector $\hat \omega$?

image for question 1

image for question 2

Im looking into the section "Reconstructing an object from its shadow" in Introduction to the Mathematics of Medical Imaging by Charles L. Epstein.I have two questions

The tangent point is expressed as a vector which contain two component. The shadow function h multiplied with the orthogonal vector and an "s" function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the "s" function mean? And also why do we have h'D(e) - s(e) = 0 when it is parallel to the direction vector w^?

image for question 1

image for question 2

Im looking into the section "Reconstructing an object from its shadow" in Introduction to the Mathematics of Medical Imaging by Charles L. Epstein.I have two questions

1. The tangent point is expressed as a vector which contain two component. The shadow function h multiplied with the orthogonal vector and an "s" function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the "s" function mean?
2. And also why do we have h'D(e) - s(e) = 0 when it is parallel to the direction vector w^?

image for question 1

image for question 2

Im looking into the section "Reconstructing an object from its shadow" in Introduction to the Mathematics of Medical Imaging by Charles L. Epstein.I have two questions

The tangent point is expressed as a vector which contain two component. The shadow function h multiplied with the orthogonal vector and an "s" function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the "s" function mean? And also why do we have h'D(e) - s(e) = 0 when it is parallel to the direction vector w^?enter image description here

image for question 1

image for question 2

Im looking into the section "Reconstructing an object from its shadow" in Introduction to the Mathematics of Medical Imaging by Charles L. Epstein.I have two questions

The tangent point is expressed as a vector which contain two component. The shadow function h multiplied with the orthogonal vector and an "s" function multiplied with the direction vector. Can anyone tell me why do we have this equation, and what does the "s" function mean? And also why do we have h'D(e) - s(e) = 0 when it is parallel to the direction vector w^?

image for question 1

image for question 2