Deployment and Geometry Maintenance Deployable Membranes Used for solar arrays, sunshields, decoys Being researched for apertures starting at RF and eventually going to optical Inflatables First US satellite was inflated (ECHO D) Enables a very large deployment ratio -=deployed over stowed dimension

Space System Software Spacecraft computer systems and their software provide unprecedented capability on orbit, but drive system cost and complexity

20.1 Geodesics .... 20.1.1 Motivation 20.1.2 Definition ..:. 20.1.3 Governing equations 20.1.4 Two-point boundary value problem 20.1.5 Example 20.2 Developable surface

19.2 Exhaustive enumeration 19.2.1 Definition and construction methods 19. 2.2 Applications 19.2.3 Properties of exhaustive enumeration methods 19.3 Space subdivision 19.3.1 Motivation and definitions 2233356677 19.3.2 Construction of octrees 19.3.3 Algorithms for octrees 19.3.4 Properties of octrees 19.3.5 Binary space subdivision

23 F.E. and B.E. Meshing Algorithms 23.1 General 23.1.1 Finite Element Method(FEM) 23.1.2Mesh 23. 1.3 Some Criteria for a Good Meshin 23. 1.4 Finite Element Analysis in a CAD Environment

21 Object Matching 21.1 Various matching methods ..ti 21.2 Methods through localization/registration 21.3 Classification of matching methods 21.4 Problem statement. 21.4.1 Distance metric 21.4.2 Distance between a point and a parametric surface 21.4.3 Distance metric function 21.5 Matching problems: CGWOS, CPWOS, CGWS or CPWS

Cambridge MA 02139-4307 USA Copyright 2003 Massachusetts Institute of Technology Contents 8 Fitting, Fairing and Generalized Cylinders 8. 1 Least Squares Method of Curve Fitting 8.2 Fairing of Curves and Surfaces 8.2.1 Properties and Definition

13 Offsets of Parametric Curves and Surfaces 13.1 Motivation.... 13.2 Parametric offset curves ........... 13.2.1 Differential geometry of parametric offset curves 22556 13.2.2 Singularities of parametric offset curves 13.2.3 Approximations

Constructive Solid Geometry(CSG) 14.2 Primitives of CSG 14.3 Boolean operators 14.3.1 Regularized Boolean operators 14.4 Set membership classification 14.5 Properties of CSG

0.1 Overview of intersection problems 10.2 Intersection problem classification 10. 2. 1 Classification by dimension 10.2.2 Classification by type of geometr 10.2.3 Classification by number system 10.3 Point /point\intersection