To the Graduate Council: I am submitting herewith a dissertation ...

Chapter 3: A Feature Saliency Descriptor for Registration and Pose Recovery 26Table. 3.2. Encoding of basic features in 2D and 3D in the tensor framework [Medioni00].Encoding of 2D tokensPointλDisk1≅ 2λ ≅ λ⎡λ⎢⎣00⎤λ⎥⎦CurveltStickλ1>> λ 2⎡ tx⎢⎢⎣tyt2xtx y2ytt⎤⎥⎥⎦Encoding of 3D tokensPointBallλ1≅2 3λ ≅ λ ≅ λ⎡λ⎢⎢0⎢⎣00λ00⎤0⎥⎥λ⎥⎦CurveltPlateλ ≅ >>t = e 31λ2λ3⎡1− tx⎢⎢−txt⎢⎣− txt2yz− t t1−tx y2y− t tyz− t tx− t t1−tzy z2z⎤⎥⎥⎥⎦Stick2⎡ nx⎢⎢nxn⎢⎣nxnyznnx y2ynynnzn ⎤xnz⎥nynz⎥2n ⎥z ⎦Surfelλ ≅ >>1λ2λ3