Radial Distortion Self-Calibration

In cameras with radial distortion, straight lines in space are in general mapped to curves in the image. Although epipolar geometry also gets distorted, there is a set of special epipolar lines that remain straight, namely those that go through the distortion center. By finding these straight epipolar lines in camera pairs we can obtain constraints on the distortion center(s) without any calibration object or plumbline assumptions in the scene. Although this holds for all radial distortion models we conceptually prove this idea using the division distortion model and the radial fundamental matrix which allow for a very simple closed form solution of the distortion center from two views (same distortion) or three views (different distortions). The non-iterative nature of our approach makes it immune to local minima and allows finding the distortion center also for cropped images or those where no good prior exists. Besides this, we give comprehensive relations between different undistortion models and discuss advantages and drawbacks.

Applying complex network theory to the understanding of high-aspect-ratio carbon-filled composites

This work demonstrates that the theoretical framework of complex networks typically used to study systems such as social networks or the World Wide Web can be also applied to material science, allowing deeper understanding of fundamental physical relationships. In particular, through the application of the network theory to carbon nanotubes or vapour-grown carbon nanofiber composites, by mapping fillers to vertices and edges to the gap between fillers, the percolation threshold has been predicted and a formula that relates the composite conductance to the network disorder has been obtained. The theoretical arguments are validated by experimental results from the literature.

Lições de Direito e Processo Penal, 2012/2013

§ Parte I A: DIREITO PENAL: CAPÍTULO I – CONCEITO DE DIREITO PENAL, COM ESPECIAL RELEVO DA DIFERENCIAÇÃO ENTRE DIREITO PENAL CLÁSSICO, DIREITO PENAL ECONÓMICO E SOCIAL E DIREITO DAS CONTRA-ORDENAÇÕES; CAPÍTULO II – O PROBLEMA DOS FINS DAS PENAS; CAPÍTULO III – BREVE ABORDAGEM DA EVOLUÇÃO HISTÓRICA DO DIREITO PENAL; CAPÍTULO IV – TEORIA GERAL DA LEI CRIMINAL; CAPÍTULO V – TEORIA GERAL DA INFRACÇÃO CRIMINAL: A) ELEMENTOS; B) CONSTRUÇÕES; C) ANÁLISE: 1) ACÇÃO; 2) TIPICIDADE; 3) ILICITUDE; 4) CULPA; 5) PUNIBILIDADE; CAPÍTULO VI – FORMAS DO CRIME:A) TENTATIVA; B) AUTORIA E COMPARTICIPAÇÃO; C) CONCURSO DE CRIMES § Parte I BDIREITO PROCESSUAL PENAL; CAPÍTULO I – A DELIMITAÇÃO DO DIREITO PROCESSUAL PENAL; CAPÍTULO II – OS PRINCÍPIOS FUNDAMENTAIS DO PROCESSO PENAL; CAPÍTULO III - A LEI PROCESSUAL PENAL E A SUA APLICAÇÃO; Parte II: CAPÍTULO I- OS SUJEITOS DO PROCESSO; CAPÍTULO II - O OBJECTO DO PROCESSO; CAPÍTULO III - AS MEDIDAS DE COACÇÃO E DE GARANTIA PATRIMONIAL; CAPÍTULO IV - TRAMITAÇÃO PROCESSUAL PENAL. § § Part I: CRIMINAL LAW: CHAPTER I - CONCEPT OF CRIMINAL LAW, WITH SPECIAL RELIEF OF THE DIFFERENTIATION BETWEEN CLASSIC CRIMINAL LAW, ECONOMIC AND SOCIAL CRIMINAL LAW AND THE “AGAINST ORDINANCES” LAW ("LAW OFFENSES"); CHAPTER II - THE PROBLEM OF THE ENDS OF THE PENALTIES; CHAPTER III - BRIEF OVERVIEW OF THE EVOLUTION HISTORY OF CRIMINAL LAW; CHAPTER IV - GENERAL THEORY OF THE CRIMINAL LAW; CHAPTER V - GENERAL THEORY OF THE CRIMINAL INFRACTION: A) ELEMENTS; B) CONSTRUCTIONS; C) ANALYSIS: 1) ACTION; 2) VAGUENESS DOCTRINE; 3) ILLEGALITY; 4) GUILT (FAULT); 5) PUNISHMENT; CHAPTER VI - FORMS OF THE CRIME: A) ATTEMPT; B) AUTHORSHIP AND "CO-PARTICIPATION"; C) CUMULATION OF OFFENCES. § Part I - B: CRIMINAL PROCEDURAL LAW: CHAPTER I - THE DELIMITATION OF THE CRIMINAL PROCEDURAL LAW; CHAPTER II - THE BASIC PRINCIPLES OF THE CRIMINAL PROCEDURE; CHAPTER III - THE CRIMINAL PROCEDURE LAW AND ITS APPLICATION; Part II: CHAPTER I - THE FIGURES OF THE PROCESS; CHAPTER II - THE OBJECT OF THE PROCESS; CHAPTER III - THE MEASURES OF COERCION AND PATRIMONIAL GUARANTEE (WARRANTY); CHAPTER IV - CRIMINAL PROCEDURE.

Lições de Direito e Processo Penal, 2013/2014

§ Parte I A: DIREITO PENAL: CAPÍTULO I – CONCEITO DE DIREITO PENAL, COM ESPECIAL RELEVO DA DIFERENCIAÇÃO ENTRE DIREITO PENAL CLÁSSICO, DIREITO PENAL ECONÓMICO E SOCIAL E DIREITO DAS CONTRA-ORDENAÇÕES; CAPÍTULO II – O PROBLEMA DOS FINS DAS PENAS; CAPÍTULO III – BREVE ABORDAGEM DA EVOLUÇÃO HISTÓRICA DO DIREITO PENAL; CAPÍTULO IV – TEORIA GERAL DA LEI CRIMINAL; CAPÍTULO V – TEORIA GERAL DA INFRACÇÃO CRIMINAL: A) ELEMENTOS; B) CONSTRUÇÕES; C) ANÁLISE: 1) ACÇÃO; 2) TIPICIDADE; 3) ILICITUDE; 4) CULPA; 5) PUNIBILIDADE; CAPÍTULO VI – FORMAS DO CRIME: A) TENTATIVA; B) AUTORIA E COMPARTICIPAÇÃO; C) CONCURSO DE CRIMES § Parte I B: DIREITO PROCESSUAL PENAL; CAPÍTULO I – A DELIMITAÇÃO DO DIREITO PROCESSUAL PENAL; CAPÍTULO II – OS PRINCÍPIOS FUNDAMENTAIS DO PROCESSO PENAL; CAPÍTULO III - A LEI PROCESSUAL PENAL E A SUA APLICAÇÃO; Parte II: CAPÍTULO I - OS SUJEITOS DO PROCESSO; CAPÍTULO II - O OBJECTO DO PROCESSO; CAPÍTULO III - AS MEDIDAS DE COACÇÃO E DE GARANTIA PATRIMONIAL; CAPÍTULO IV - TRAMITAÇÃO PROCESSUAL PENAL. § § Part I: CRIMINAL LAW: CHAPTER I - CONCEPT OF CRIMINAL LAW, WITH SPECIAL RELIEF OF THE DIFFERENTIATION BETWEEN CLASSIC CRIMINAL LAW, ECONOMIC AND SOCIAL CRIMINAL LAW AND THE “AGAINST ORDINANCES” LAW ("LAW OFFENSES"); CHAPTER II - THE PROBLEM OF THE ENDS OF THE PENALTIES; CHAPTER III - BRIEF OVERVIEW OF THE EVOLUTION HISTORY OF CRIMINAL LAW; CHAPTER IV - GENERAL THEORY OF THE CRIMINAL LAW; CHAPTER V - GENERAL THEORY OF THE CRIMINAL INFRACTION: A) ELEMENTS; B) CONSTRUCTIONS; C) ANALYSIS: 1) ACTION; 2) VAGUENESS DOCTRINE; 3) ILLEGALITY; 4) GUILT (FAULT); 5) PUNISHMENT; CHAPTER VI - FORMS OF THE CRIME: A) ATTEMPT; B) AUTHORSHIP AND "CO-PARTICIPATION"; C) CUMULATION OF OFFENCES. § Part I - B: CRIMINAL PROCEDURAL LAW: CHAPTER I - THE DELIMITATION OF THE CRIMINAL PROCEDURAL LAW; CHAPTER II - THE BASIC PRINCIPLES OF THE CRIMINAL PROCEDURE; CHAPTER III - THE CRIMINAL PROCEDURE LAW AND ITS APPLICATION; Part II: CHAPTER I - THE FIGURES OF THE PROCESS; CHAPTER II - THE OBJECT OF THE PROCESS; CHAPTER III - THE MEASURES OF COERCION AND PATRIMONIAL GUARANTEE (WARRANTY); CHAPTER IV -CRIMINAL PROCEDURE.