82 research outputs found
Biblical Scholarship in Louvain in the 'Golden' Sixteenth Century
No full textAntonio Gerace dealt with the development of biblical scholarship in Louvain by analysing with seven authors who worked in the first part of the Sixteenth century and who are strictly linked to the Louvain milieu. In chronological order, they include Nicholas Tacitus Zegers (c.1495–1559), John Henten (1499–1566), Cornelius Jansenius ‘of Ghent’, Adam Sasbout, John Hessels (1522–1566), Thomas Stapleton, and Francis Lucas ‘of Bruges’. Each author offered key-contributions that can effectively show the development of Catholic biblical scholarship in that period. This can be divided into three main thematic areas: 1) Text-criticism of the Latin Vulgate; 2) Exegesis of the Scriptures; and 3) Preaching of the Bible. Somehow, these three areas represent the ‘study flow’ of the Scriptures: the emendation of the Vulgate, aimed at restoring the text to a hypothetical ‘original’, and the philological approach to the Greek and Hebrew sources allowing for a better comprehension of the Bible. Such comprehension becomes the basis of commentaries made with the intention of explaining the meaning of the Scriptures to the faithful in the light of the Tradition. Furthermore, the Church needed to preach the Scriptures and their contents to the Catholic flock in order to safeguard them from any ‘heretical’ influence. Therefore, several homiletic works appeared so that priests could prepare their sermons appropriately. Therefore, Gerace divided his work into three parts, each devoted to one of the three research areas, following the ‘study-flow’ of the Scripturesedition: 1status: Publishe
What is the Vulgate? Girolamo Seripando's notes on the Vulgate
No full textBefore the issue of the Insuper decree (1546), by means of which the Council Fathers
declared the Vulgate to be the ‘authentic’ Bible for Catholic Church, Girolamo Seripando
took few notes discussing the need of a threefold Bible, in Latin, Greek and Hebrew,
as he stressed in the General Congregation on 3 April 1546. Only Rongy (1927/28),
Jedin (1937) and François/Gerace (2018) paid attention to this document, preserved at
the National Library in Naples in a manuscript of the 17th century (Ms. Vind. Lat. 66,
123v–127v). In this article, the author offers the very first transcription of these notes
together with the analysis of Seripando’s sources, providing a new primary source to
early modern historians
Image reconstruction with a non-parallelism constraint
No full textWe consider the problem of restoration of images corrupted by blur and noise.
We find the minimum of the primal energy
function, which has two terms. The former is related to
faithfulness to the data and the latter is associated with
smoothness constraints. In general, we have to estimate
the discontinuities of the ideal image. We require that the
obtained images are piecewise continuous and with thin edges. We associate with
the primal energy function a dual
energy function, which treats discontinuities implicitly.
In order to have thin edges, we determine a dual energy function, which is convex
and takes into account non-parallelism constraints.
The proposed dual energy can be used as initial function in a
GNC (Graduated Non-Convexity)-type algorithm,
to obtain reconstructed images with Boolean discontinuities.
In the experimental results, we show that
the parallel lines are inhibited
The Traveling salesman problem in circulant weighted graphs with two stripes
No full textThe Symmetric Circulant Traveling Salesman Problem asks for the minimum cost of a Hamiltonian cycle in a circulant weighted undirected graph. The computational complexity of this problem is not known.
Just a constructive upper bound, and a good lower bound have been determined.
This paper provides a characterization of the two stripe case. Instances where the minimum cost of a Hamiltonian cycle is equal either to the upper bound, or to the lower bound are recognized. A new construction providing Hamiltonian cycles, whose cost is in many cases lower than the upper bound, is
proposed for the remaining instances
The Travelling Salesman Problem in Symmetric Circulant Matrices with Two Stripes
No full textThe Symmetric Circulant Travelling Salesman Problem asks for the minimum cost tour in a symmetric circulant matrix. The computational complexity of this problem is not known – only upper and lower bounds have been determined. This paper provides a characterisation of the two-stripe case. Instances where the minimum cost of a tour is equal to either the upper or lower bound are recognised. A new construction providing a tour is proposed for the remaining instances, and this leads to a new upper bound that is closer than the previous one
A deterministic algorithm for optical flow estimation
No full textIn this paper we propose a new deterministic algorithm for determining optical flow through regularization techniques so that the solution of the problem is defined as the minimum of an appropriate energy function. We also assume that the displacements are piecewise continuous and that the discontinuities are variable to be estimated. More precisely, we introduce a hierarchical three-step optimization strategy to minimize the constructed energy function, which is not convex. In the first step we find a suitable initial guess of the displacements field by a gradient-based GNC algorithm. In the second step we define the local energy of a displacement field as the energy function obtained by fixing all the field with the exception of a row or of a column. Then, through an application of the shortest path technique we minimize iteratively each local energy function restricted to a row or to a column until we arrive at a fixed point. In the last step we use again a GNC algorithm to recover a sub-pixel accuracy. The experimental results confirm the goodness of this technique
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