O déficit habitacional brasileiro continua elevado, apesar do aumento dos investimentos públicos voltados à produção de HIS (Habitação de Interesse Social). A produção habitacional financiada por programas públicos emprega, majoritariamente, a área útil ao redor de 36m². Assim, torna-se inevitável que as HIS, com dimensões mínimas, sofram ampliações (na maioria das vezes espontâneas, efetuadas pelos próprios moradores), nem sempre com orientação profissional. Dificuldades para projetar casas evolutivas, adaptáveis às necessidades de expansão horizontal ou vertical da unidade habitacional, determinam, muitas vezes, alterações substanciais no conforto ambiental e na lógica de circulação e de articulação entre os espaços da habitação original. Metodologias utilizadas para a previsão de transformações morfológicas esbarram na dificuldade de modelar as transformações e transferir a descrição obtida com estes modelos para estratégias projetuais. Entre os modelos de formas construídas, a Sintaxe Espacial vem se mostrando eficaz na análise de hierarquia dos espaços, enquanto a Gramática da Forma documenta, com relativa fidelidade, as características de contiguidades entre espaços no processo de expansão. Com isso, os princípios generativos de uma habitação evolutiva podem ser extraídos das ampliações de HIS. Esses modelos ajudam a descrever a estrutura planar das transformações morfológicas e podem auxiliar na previsão das mudanças provocadas por usuários de HIS no Brasil. O método foi aplicado em casas originalmente de dois dormitórios existentes em conjuntos habitacionais de Porto Alegre e da Região Metropolitana de Porto Alegre (grupo RS). A comparação com projetos de HIS de três autores (grupo unidades-exemplo) testa a hipótese de tendência a semelhanças (apesar das diferenças entre os projetos do grupo unidades-exemplo quanto ao tamanho, à localização e à implantação no terreno) entre as ampliações espontâneas observadas no grupo RS e as propostas adotadas por esses autores. O método utilizado permitiu confirmar a hipótese levantada, indicando que é possível generalizar as soluções apresentadas no grupo unidades-exemplos para outras regiões do País, no momento em que há semelhanças entre os dois grupos considerados. Essa metodologia tem como produto as regras espaciais e medidas de hierarquia dos compartimentos, sem estarem atreladas a uma expressão arquitetônica, que retratam os padrões geométricos e configuracionais das HIS transformadas no grupo RS e contribuem para possibilitar comparações com outros projetos, como os do grupo unidades-exemplo. / The Brazilian housing deficit remains high, despite the increase in public investment aimed at production of low-incoming housing. Housing production financed by public programs employs, mainly, the useful area around 36 m². Thus, it becomes inevitable that the low-incoming housing, with minimum dimensions, suffer expansions (most often spontaneous, carried out by the residents), not always with professional guidance. Difficulties to design evolutionary houses, adaptable to the needs of horizontal or vertical expansion of the housing unit, determine, often, substantial changes in the environmental comfort and in the logic of movement and articulation among the spaces of the original housing. Methodologies used for the prediction of morphological transformations based on difficulty of modeling transformations and transfer the description obtained from these models for project strategies. Among the models of forms built, Space Syntax has been showing effective in analysis of hierarchy and permeability of the spaces, while the Grammar of Form documents, with relative fidelity, the characteristics of contiguities among spaces in the expansion process. With that, the generative principles of an evolutionary housing can be extracted from enlargements of low-incoming housing. These templates help to describe the plane structure of morphological transformations and can assist in predicting the changes caused by low-incoming housing users in Brazil. The method was applied in originally two bedroom houses existing in housing estates of Porto Alegre and the Metropolitan Region of Porto Alegre (RS group). The comparison with low-incoming housing projects by three authors (group sample-units) tests the hypothesis of trend to similarities (in spite of the differences among the projects of the group sample-units regarding the size, the location and the deployment on the ground) between the spontaneous enlargements observed in the RS group and the proposals adopted by these authors. The used method was able to confirm the hypothesis, indicating that it is possible to generalize the solutions presented in the group sample-units for other regions of the Country, at the moment when there are similarities between the two groups considered. This methodology has as product the space rules and measures of hierarchy of compartments, without being linked to an architectural expression, which depict configurational and geometric patterns of transformed low-incoming housing in RS group and contribute to enable comparisons with other projects, such as the group sample-units.

Le réalisme des images en infographie exige de créer des objets (ou des scènes) de plus en plus complexes, ce qui entraîne des coûts considérables. La modélisation procédurale peut aider à automatiser le processus de création, à simplifier le processus de modification ou à générer de multiples variantes d'une instance d'objet. Cependant même si plusieurs méthodes procédurales existent, aucune méthode unique permet de créer tous les types d'objets complexes, dont en particulier un édifice complet. Les travaux réalisés dans le cadre de cette thèse proposent deux solutions au problème de la modélisation procédurale: une solution au niveau de la géométrie de base, et l’autre sous forme d'un système général adapté à la modélisation des objets complexes. Premièrement, nous présentons le bloc, une nouvelle primitive de modélisation simple et générale, basée sur une forme cubique généralisée. Les blocs sont disposés et connectés entre eux pour constituer la forme de base des objets, à partir de laquelle est extrait un maillage de contrôle pouvant produire des arêtes lisses et vives. La nature volumétrique des blocs permet une spécification simple de la topologie, ainsi que le support des opérations de CSG entre les blocs. La paramétrisation de la surface, héritée des faces des blocs, fournit un soutien pour les textures et les fonctions de déplacements afin d'appliquer des détails de surface. Une variété d'exemples illustrent la généralité des blocs dans des contextes de modélisation à la fois interactive et procédurale. Deuxièmement, nous présentons un nouveau système de modélisation procédurale qui unifie diverses techniques dans un cadre commun. Notre système repose sur le concept de composants pour définir spatialement et sémantiquement divers éléments. À travers une série de déclarations successives exécutées sur un sous-ensemble de composants obtenus à l'aide de requêtes, nous créons un arbre de composants définissant ultimement un objet dont la géométrie est générée à l'aide des blocs. Nous avons appliqué notre concept de modélisation par composants à la génération d'édifices complets, avec intérieurs et extérieurs cohérents. Ce nouveau système s'avère général et bien adapté pour le partionnement des espaces, l'insertion d'ouvertures (portes et fenêtres), l'intégration d'escaliers, la décoration de façades et de murs, l'agencement de meubles, et diverses autres opérations nécessaires lors de la construction d'un édifice complet. / The realism of computer graphics images requires the creation of objects (or scenes) of increasing complexity, which leads to considerable costs. Procedural modeling can help to automate the creation process, to simplify the modification process or to generate multiple variations of an object instance. However although several procedural methods exist, no single method allows the creation of all types of complex objects, including in particular a complete building. This thesis proposes two solutions to the problem of procedural modeling: one solution addressing the geometry level, and the other introducing a general system suitable for complex object modeling. First, we present a simple and general modeling primitive, called a block, based on a generalized cuboid shape. Blocks are laid out and connected together to constitute the base shape of complex objects, from which is extracted a control mesh that can contain both smooth and sharp edges. The volumetric nature of the blocks allows for easy topology specification, as well as CSG operations between blocks. The surface parameterization inherited from the block faces provides support for texturing and displacement functions to apply surface details. A variety of examples illustrate the generality of our blocks in both interactive and procedural modeling contexts. Second, we present a novel procedural modeling system which unifies some techniques into a common framework. Our system relies on the concept of components to spatially and semantically define various elements. Through a series of successive statements executed on a subset of queried components, we grow a tree of components ultimately defining an object whose geometry is made from blocks. We applied our concept and representation of components to the generation of complete buildings, with coherent interiors and exteriors. It proves general and well adapted to support partitioning of spaces, insertion of openings (doors and windows), embedding of staircases, decoration of façades and walls, layout of furniture, and various other operations required when constructing a complete building.

Le réalisme des images en infographie exige de créer des objets (ou des scènes) de plus en plus complexes, ce qui entraîne des coûts considérables. La modélisation procédurale peut aider à automatiser le processus de création, à simplifier le processus de modification ou à générer de multiples variantes d'une instance d'objet. Cependant même si plusieurs méthodes procédurales existent, aucune méthode unique permet de créer tous les types d'objets complexes, dont en particulier un édifice complet. Les travaux réalisés dans le cadre de cette thèse proposent deux solutions au problème de la modélisation procédurale: une solution au niveau de la géométrie de base, et l’autre sous forme d'un système général adapté à la modélisation des objets complexes. Premièrement, nous présentons le bloc, une nouvelle primitive de modélisation simple et générale, basée sur une forme cubique généralisée. Les blocs sont disposés et connectés entre eux pour constituer la forme de base des objets, à partir de laquelle est extrait un maillage de contrôle pouvant produire des arêtes lisses et vives. La nature volumétrique des blocs permet une spécification simple de la topologie, ainsi que le support des opérations de CSG entre les blocs. La paramétrisation de la surface, héritée des faces des blocs, fournit un soutien pour les textures et les fonctions de déplacements afin d'appliquer des détails de surface. Une variété d'exemples illustrent la généralité des blocs dans des contextes de modélisation à la fois interactive et procédurale. Deuxièmement, nous présentons un nouveau système de modélisation procédurale qui unifie diverses techniques dans un cadre commun. Notre système repose sur le concept de composants pour définir spatialement et sémantiquement divers éléments. À travers une série de déclarations successives exécutées sur un sous-ensemble de composants obtenus à l'aide de requêtes, nous créons un arbre de composants définissant ultimement un objet dont la géométrie est générée à l'aide des blocs. Nous avons appliqué notre concept de modélisation par composants à la génération d'édifices complets, avec intérieurs et extérieurs cohérents. Ce nouveau système s'avère général et bien adapté pour le partionnement des espaces, l'insertion d'ouvertures (portes et fenêtres), l'intégration d'escaliers, la décoration de façades et de murs, l'agencement de meubles, et diverses autres opérations nécessaires lors de la construction d'un édifice complet. / The realism of computer graphics images requires the creation of objects (or scenes) of increasing complexity, which leads to considerable costs. Procedural modeling can help to automate the creation process, to simplify the modification process or to generate multiple variations of an object instance. However although several procedural methods exist, no single method allows the creation of all types of complex objects, including in particular a complete building. This thesis proposes two solutions to the problem of procedural modeling: one solution addressing the geometry level, and the other introducing a general system suitable for complex object modeling. First, we present a simple and general modeling primitive, called a block, based on a generalized cuboid shape. Blocks are laid out and connected together to constitute the base shape of complex objects, from which is extracted a control mesh that can contain both smooth and sharp edges. The volumetric nature of the blocks allows for easy topology specification, as well as CSG operations between blocks. The surface parameterization inherited from the block faces provides support for texturing and displacement functions to apply surface details. A variety of examples illustrate the generality of our blocks in both interactive and procedural modeling contexts. Second, we present a novel procedural modeling system which unifies some techniques into a common framework. Our system relies on the concept of components to spatially and semantically define various elements. Through a series of successive statements executed on a subset of queried components, we grow a tree of components ultimately defining an object whose geometry is made from blocks. We applied our concept and representation of components to the generation of complete buildings, with coherent interiors and exteriors. It proves general and well adapted to support partitioning of spaces, insertion of openings (doors and windows), embedding of staircases, decoration of façades and walls, layout of furniture, and various other operations required when constructing a complete building.