Coordinate transformations and programming for small revolute-coordinate robots

3D affine coordinate transformations

Landsat MSS Coordinate Transformations

, A number of image a n a l y s i s t a s k s r e q u i r e t h e r e g i s t r a t i o n of a s u r f a c e model w i t h an image. I n t h e case o f s a t e l l i t e images, t h e s u r f a c e model may be a map o r d i g i t a l t e r r a i n model i n t h e form o f surface e l e v a t i o n s on a g r i d o f p o i n t s. We develop here an a f f i n e transformation between coordinates...

Vectors, Matrices and Coordinate Transformations

For our purposes we will think of a vector as a mathematical representation of a physical entity which has both magnitude and direction in a 3D space. Examples of physical vectors are forces, moments, and velocities. Geometrically, a vector can be represented as arrows. The length of the arrow represents its magnitude. Unless indicated otherwise, we shall assume that parallel translation does n...

Coordinate transformations in object recognition.

A basic problem of visual perception is how human beings recognize objects after spatial transformations. Three central classes of findings have to be accounted for: (a) Recognition performance varies systematically with orientation, size, and position; (b) recognition latencies are sequentially additive, suggesting analogue transformation processes; and (c) orientation and size congruency effe...

Cartesian coordinate control for redundant modular robots

This paper is focused on the kinematic control of redundant modular robots for trajectory tracing. Based on the geometric numerical inverse kinematic algorithm developed for modular robots, a new online control method is presented. In this method, the inverse kinematic solution can be optimized through constructing a weighted matrix. Following this approach, some fundamental interpolation algor...