title: Towards Colour Imaging with the Image Ranger

authors: Muttayane, Anandajothi

subjects: Colour imaging

abstract: Many of the colour images captured by different types of digital camera do not provide quality colour image according to human visual perception. In this study we explore technique for colour correction of the colour images from the Waikato Image Ranger.
Colour images were captured using three different illuminants with the Waikato Image Ranger. The colour image formed from the ranger data do not have good quality because illuminants used do not match usual RGB standard illuminants. The spectral power distribution values of the illuminants were measured using spectroradiometer. To calculate tristimulus values the reflectance function of the scene is required. A mechanism of calculating the reflectance functions from the ranger data using genetic algorithm was explained. The reflectance functions are approximated using variable Gaussian basis functions, and fit to the ranger colour triplets by genetic algorithms. From the estimated reflectance functions standard CRT RGB values were calculated. It was found that the genetic algorithm approach was for too slow for practical purposes and produced images with far too much colour variation.

text: Towards Colour Imaging with the Image Ranger Many of the colour images captured by different types of digital camera do not provide quality colour image according to human visual perception. In this study we explore technique for colour correction of the colour images from the Waikato Image Ranger.
Colour images were captured using three different illuminants with the Waikato Image Ranger. The colour image formed from the ranger data do not have good quality because illuminants used do not match usual RGB standard illuminants. The spectral power distribution values of the illuminants were measured using spectroradiometer. To calculate tristimulus values the reflectance function of the scene is required. A mechanism of calculating the reflectance functions from the ranger data using genetic algorithm was explained. The reflectance functions are approximated using variable Gaussian basis functions, and fit to the ranger colour triplets by genetic algorithms. From the estimated reflectance functions standard CRT RGB values were calculated. It was found that the genetic algorithm approach was for too slow for practical purposes and produced images with far too much colour variation.

year: 2006

title: Computing L-Invariants for the Symmetric Square of an Elliptic Curve

authors: Delbourgo, Daniel

subjects: Science & Technology

abstract: Let E be an elliptic curve over Q, and p≠2 a prime of good ordinary reduction. The p-adic L-function for Sym²E always vanishes at s = 1, even though the complex L-function does not have a zero there. The L-invariant itself appears on the right-hand side of the formula
ddsLp(Sym²E,s)∣∣∣s=1=Lp(Sym²E)×(1−α⁻²ᵖ)(1−pα⁻²ᵖ)×L∞(Sym²E,1)(2πi)⁻¹Ω+EΩ-E
where X²−aᵖ(E)X+p=(X−αᵖ)(X−βᵖ) with αp∈Z×ᵖ. We first devise a method to calculate Lp(Sym²E) effectively, then show it is non-trivial for all elliptic curves E of conductor NE≤300 with 4|NE, and almost all ordinary primes p < 17. Hence, in these cases at least, the order of the zero in Lp(Sym²E,s) at s = 1 is exactly one.

text: Computing L-Invariants for the Symmetric Square of an Elliptic Curve Let E be an elliptic curve over Q, and p≠2 a prime of good ordinary reduction. The p-adic L-function for Sym²E always vanishes at s = 1, even though the complex L-function does not have a zero there. The L-invariant itself appears on the right-hand side of the formula
ddsLp(Sym²E,s)∣∣∣s=1=Lp(Sym²E)×(1−α⁻²ᵖ)(1−pα⁻²ᵖ)×L∞(Sym²E,1)(2πi)⁻¹Ω+EΩ-E
where X²−aᵖ(E)X+p=(X−αᵖ)(X−βᵖ) with αp∈Z×ᵖ. We first devise a method to calculate Lp(Sym²E) effectively, then show it is non-trivial for all elliptic curves E of conductor NE≤300 with 4|NE, and almost all ordinary primes p < 17. Hence, in these cases at least, the order of the zero in Lp(Sym²E,s) at s = 1 is exactly one.

year: 2019

title: Putting Sylvia in her place: history, geographical theory and the “New” Education

authors: Middleton, Sue

subjects: Sylvia Ashton-Warner

abstract: New Zealander Sylvia Ashton-Warner, a teacher in remote rural Mori schools in the 1940s-1950s, became internationally renowned as a novelist and educational theorist. Earlier commentators portrayed her educational theory as in conflict with those of her time and place, but recent studies conceptualise them as enabled by it. While space/place has often been considered the preserve of the geographer and time that of the historian, Henri Lefebvre and others suggest that: “these issues need to be thought together rather than separately” and that macro-, meso- and micro-levels of analysis be engaged simultaneously. The author traces how conceptual, linguistic, sensory and intellectual resources of the global “New Education” movement extended into the tiny bush-encircled Mori communities in which Sylvia taught and wrote in the 1940s-1950s and surfaced in her writing. The article zooms in and out between the “the immensity of the global” (the New Education, the Second World War) and “the intimately tiny” (her classroom and home). The “data” include Sylvia's non-fiction education texts and official documents of her time: school curricula, education policy documents, Ministerial and Inspectors' reports. What Lefebvre terms a “Rhythm analysis” of Ashton-Warner's educational writing shows intermingled pulses of domestic life, routines of educational bureaucracy, cycles of nature, and cataclysms of world events. It is important for historians to study “the where rather than just the when with location and landscape central parts of the analysis”.

text: Putting Sylvia in her place: history, geographical theory and the “New” Education New Zealander Sylvia Ashton-Warner, a teacher in remote rural Mori schools in the 1940s-1950s, became internationally renowned as a novelist and educational theorist. Earlier commentators portrayed her educational theory as in conflict with those of her time and place, but recent studies conceptualise them as enabled by it. While space/place has often been considered the preserve of the geographer and time that of the historian, Henri Lefebvre and others suggest that: “these issues need to be thought together rather than separately” and that macro-, meso- and micro-levels of analysis be engaged simultaneously. The author traces how conceptual, linguistic, sensory and intellectual resources of the global “New Education” movement extended into the tiny bush-encircled Mori communities in which Sylvia taught and wrote in the 1940s-1950s and surfaced in her writing. The article zooms in and out between the “the immensity of the global” (the New Education, the Second World War) and “the intimately tiny” (her classroom and home). The “data” include Sylvia's non-fiction education texts and official documents of her time: school curricula, education policy documents, Ministerial and Inspectors' reports. What Lefebvre terms a “Rhythm analysis” of Ashton-Warner's educational writing shows intermingled pulses of domestic life, routines of educational bureaucracy, cycles of nature, and cataclysms of world events. It is important for historians to study “the where rather than just the when with location and landscape central parts of the analysis”.

year: 2011