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Typescript, etc. / Digitized by Kansas State University Libraries

Digitized by Kansas State University Libraries

Typescript, etc. / Digitized by Kansas State University Libraries

Call number: LD2668 .T4 1938 M91

LD2668 .T4 1942 G3 / Master of Science

Call number: LD2668 .T4 1984 L55 / Master of Science

In shape modeling applications, \emph{deformation} is the process of applying a continuous, non-affine transformation to a shape. The definition of the deformation should be independent of the representation of the shape. In practice, the shape is often represented by its boundary, which is defined by a set of vertices and by connectivity information. The transformation is often applied to these points. A deformation algorithm takes the orginal shape and designer's choices as inputs, and outputs the deformed shape. This dissertation dedicates to introducing \emph{spine-based deformation}: Any distortion to the shape is controlled by a low dimensional proxy, which is a spine curve or surface. Considering a sometimes important constraint to preserve the shape's volume during deformation, this thesis addresses a suite of problems in spine-based deformation with local volume preservation, meaning that the volume of any subset of the shape is preserved. Although our deformation model may be applied to the control points or vertices of a surface model that is not a water tight boundary of a solid, in this thesis, the term shape will refer to a solid model which has a clearly defined interior and volume. Previously proposed local or global volume compensation techniques are typically based on iterations that introduce a complexity bilinear in the numbers of vertices and iterations. we present a family of closed-form solutions for shape deformation with mathematically exact local volume preservation, and demonstrate their power in the context of interactive bending, rotating, sliding or stretching a 2D or 3D shape. The overall complexity is linear in the number of vertices. Proposed spine-based deformation framework adopts the following assumptions in geometric modeling: -- When the spine is a curve, a plane normal to the spine curve remains normal to the spine curve after deformation. The parameter associated with the point at which the plane intersects the curve is unchanged. -- When the spine is a surface, a line normal to the spine surface remains normal to the spine surface after deformation. The parameters associated with the point at which the line intersecting the plane remain unchanged. With these assumptions, we compute the closed-form formulation for the deformation that guarantees local volume preservation and is expressed using real roots of low degree polynomials and simple point and vector expressions. Due to its simplicity, our solution may be used to deform complex models in realtime during interactive manipulation or during animation, where the behavior of the spine has been designed or is computed in realtime through simulation.

published_or_final_version / Urban Design / Master / Master of Urban Design

This thesis discusses the United States Green Building Council’s proposed changes in the LEED® (Leadership in Energy and Environmental Design) Rating System for New Construction and Major Renovations from the current 2009 version to the proposed 2012 version, as they pertain to historic building renovation projects. The comparison is aimed at determining whether the proposed changes to the rating system are becoming more favorable to historic preservation, promoting the rehabilitation and reuse of historic buildings as environmentally responsible practices. The discussion is taken a step further by proposing potential modifications and metrics that could be implemented into the LEED® Rating System in order to help advance historic preservation by recognizing the many inherent sustainable qualities of historic buildings, such as regional climate-adaptive features, durable materials and skilled craftsmanship. The upcoming renovation of Battle Hall and West Mall Building, two buildings that are part of the School of Architecture complex at the University of Texas at Austin, serves as case study of historic buildings undergoing major renovations to which both the LEED 2009 and LEED 2012 Draft Rating Systems for New Construction and Major Renovations are applied. An analysis of the results informs the comparison between the two versions of the rating system. The results of the comparison indicate that changes in the LEED® rating system for New Construction and Major Renovation from the 2009 to the 2012 version are favorable for historic preservation. The USGBC is advancing in the right direction with establishing more credits for historic preservation projects. The 2012 3rd Public Comment Draft rating system introduces the notion of “historic building” and that of “historic district” for the first time, in credits that address infill within a historic district and reuse of a historic building, with work performed in accordance with The Secretary of the Interior’s Standards for the Treatment of Historic Properties. This represents a step forward toward integrating historic preservation and building reuse in the vocabulary of sustainability. / text