Toward the Effective Use of Geometrically Continuous        Techniques
{'Code': '07030000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'CMMI', 'LongName': 'Div Of Civil, Mechanical, & Manufact Inn'}}
{'SignBlockName': 'Bruce Kramer', 'PO_EMAI': 'bkramer@nsf.gov', 'PO_PHON': '7032925348'}
This research deals with the computational, and underlying                      mathematical, properties of curves and surfaces that exhibit                    geometrical rather than parametric continuity.  Geometrically                   continuous entites are controllable through various heuristic "shape            functions" and may prove to be more suitable for computer-aided design          than parametrically continuous entities.  Knowledge about computational         techniques for establishing and preserving geometric continuity is              sparse, and is confined mainly to cubic Beta-spline curves.  This               research will focus on Beta-spline curves and triangular Beta-spline            surfaces of arbitrary polynomial order, and will seek to (1) develop            evaluation algorithms, and (2) catalog and classify shape functions for         use in CAD.
{'FirstName': 'Anthony', 'LastName': 'DeRose', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Anthony DeRose', 'EmailAddress': None, 'NSF_ID': '000437722', 'StartDate': '06/01/1986', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1463', 'Text': 'INTEGRATION ENGINEERING'}
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