Terminal Aimpoint Selection Algorithm Based on Convex Hull Technique

A terminal aimpoint selection algorithm is proposed in this paper for selecting the aimpoint precisely in real time. This approach avoids complicated and time-consuming pattern matching or boundary extraction. Through the image preprocessing and corner detection, the convex hull technique is utilized to cover the target area based on Computation Geometry, where centriod of the convex hull is defined as the aimpoint of the target. The proposed algorithm promotes intelligence, efficiency and accuracy of navigation guidance systems, which is proved in the simulation.

Research on Exact Minkowski Sum Algorithm of Convex Polyhedron Based on Direct Mapping

Minkowski sum has become an effective method in collision detection problem, which is a branch of computation geometry. Separated from the previous algorithm based on the traditional Gaussian Map, a new algorithm of computing exact Minkowski sum of convex polyhedron is proposed based on direct mapping method in the paper, and the correctness of direct mapping method is testified. The algorithm mapping the convex polyhedron into the bottom of regular tetrahedron according to the definition of Regular Tetrahedron Mapping and Point Projection, so the problem become form 3D to 2D. Comparing with the previous algorithm, the algorithm posed in the paper establishes mapping from 3D to 2D directivity, and only compute the overlay of one pair of planar subdivision. So, the algorithm’s executing efficiency has been improved in compare with the previous algorithm.

Early Childhood Corner: Teaching with Blocks

Blocks are powerful mathematical tools when used to teach young children early concepts in measurement, number sense, computation, geometry, data analysis, and algebra. For nearly one hundred years, blocks have played a role in early childhood classrooms (Smith 2001). Yet not everyone understands the mathematics conceptbuilding power associated with blocks. From sorting to patterning, young children can build a strong mathematical foundation one block at a time. This article examines how blocks can be especially useful in engaging children in activities that address algebraic, geometric, and spatial thinking.

By way of introduction

There is a new feature for arithmetic teachers in this month's Arithmetic Teacher. “From the File' provides, for the files of teachers, teaching ideas that have been used with good results by other teachers. Each idea is presented in the format of a 10-cm-by-15-cm card, which can be cut out and pasted to a standard file card for ready filing. (If you don't want to cut up your copy of the Arithmetic Teacher, find a good photocopying machine and make a copy of the page, then cut the photocopy.) The ideas will be classified in broad categories—problem solving, computation, geometry, measurement, and so on. They will be varied in content, including activities, projects, games, and interesting problems. The individual who has submitted the idea will be identified, by name and school, in each case.