the left of Fig. 2, the grid at level l has 2l cells along each dimension, for a total of D = 2l × 2l cells. ..... Caltech256 [16] provides challenging data for object recognition. It consists of .... This research is supported by the Singapore Nati

For a four dimensional tetrahedron, often called a simplex, (see figure (3)) one can use a similar .... [Guy87 ] Private Communication. [Sil86 ] J. H. Silverman, The ...

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and their mutual intersection occurs at (x, y, z)=(xD,yD, ±zD). Thus. xD = a2 + e2 − f2. 2a. yD = c2 + e2 − d2 − 2xDxA. 2yA z2. D = e2 − x2. D − y2. D. Substituting the expressions for xA, yA, xD and yD into the last equation one obtains z

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